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Finding the Third Proportional to 11,944,960 and 25,880,576

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Solution

The third proportional to 11,944,960 and 25,880,576 is: 56,074,211.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944,960 : 25,880,576 = 25,880,576 : x
  2. Step 2: Convert to fraction form
    11,944,960/25,880,576 = 25,880,576/x
  3. Step 3: Cross multiply
    11,944,960x = 25,880,576 × 25,880,576
  4. Step 4: Simplify right side
    11,944,960x = 669,804,214,091,776
  5. Step 5: Solve for x
    x = 669,804,214,091,776/11,944,960
  6. Step 6: Final answer
    x = 56,074,211.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.